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21033233113230 = 23251322695140727
BaseRepresentation
bin1001100100001001011100…
…11000110110000010001110
32202110202110011212000002100
410302010232120312002032
510224102030134110410
6112422311153335530
74300413060412602
oct462045630660216
982422404760070
1021033233113230
11677a164836868
12243846b2675a6
13b9756b708200
1452a02a277502
152671c8eb58c0
hex13212e63608e

21033233113230 has 144 divisors (see below), whose sum is σ = 59436788692320. Its totient is φ = 5158163342592.

The previous prime is 21033233113213. The next prime is 21033233113241. The reversal of 21033233113230 is 3231133233012.

21033233113230 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 3 + 2 + 331 + 1 + 323 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21033233113194 and 21033233113203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1521127 + ... + 6661853.

It is an arithmetic number, because the mean of its divisors is an integer number (412755477030).

Almost surely, 221033233113230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21033233113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29718394346160).

21033233113230 is an abundant number, since it is smaller than the sum of its proper divisors (38403555579090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21033233113230 is a wasteful number, since it uses less digits than its factorization.

21033233113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141035 (or 5141019 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 21033233113230 its reverse (3231133233012), we get a palindrome (24264366346242).

The spelling of 21033233113230 in words is "twenty-one trillion, thirty-three billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 269 338 390 507 538 585 807 845 1014 1170 1345 1521 1614 1690 2421 2535 2690 3042 3497 4035 4842 5070 6994 7605 8070 10491 12105 15210 17485 20982 24210 31473 34970 45461 52455 62946 90922 104910 136383 157365 227305 272766 314730 409149 454610 681915 818298 1363830 2045745 4091490 5140727 10281454 15422181 25703635 30844362 46266543 51407270 66829451 77110905 92533086 133658902 154221810 200488353 231332715 334147255 400976706 462665430 601465059 668294510 868782863 1002441765 1202930118 1382855563 1737565726 2004883530 2606348589 2765711126 3007325295 4148566689 4343914315 5212697178 6014650590 6914277815 7819045767 8297133378 8687828630 12445700067 13031742945 13828555630 15638091534 17977122319 20742833445 24891400134 26063485890 35954244638 39095228835 41485666890 53931366957 62228500335 78190457670 89885611595 107862733914 124457000670 161794100871 179771223190 233702590147 269656834785 323588201742 467405180294 539313669570 701107770441 808970504355 1168512950735 1402215540882 1617941008710 2103323311323 2337025901470 3505538852205 4206646622646 7011077704410 10516616556615 21033233113230